A Quasi-Analytic Modal Expansion Technique for Modeling Light Emission From Nanorod LEDs

Abstract

A mathematical model, based on cylindrical modes, capable of predicting the far-field angular emission pattern resulting from emission within cylindrical nanostructures is demonstrated and shown to yield self-consistent detailed numerical results. This method is much less computationally intensive than the prevailing finite-difference time-domain method and potentially provides more insight into the physics responsible for predictions. When considering the fundamental HE <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">11</sub> mode in isolation, the emission intensity within 1° of the nanorod axis is shown to vary by 10% as the separation δ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">z</sub> between quantum wells is varied. Some of the modes can be shown to correspond with features observed in experimental emission patterns obtained by angular photoluminescence.